{"id":1169,"date":"2024-12-22T10:32:40","date_gmt":"2024-12-22T15:32:40","guid":{"rendered":"https:\/\/www.golive.clarku.edu\/faculty\/profiles\/aghil-alaee-khangha\/"},"modified":"2026-04-03T14:07:32","modified_gmt":"2026-04-03T18:07:32","slug":"aghil-alaee-khangha","status":"publish","type":"cu_faculty","link":"https:\/\/www.clarku.edu\/faculty\/profiles\/aghil-alaee-khangha\/","title":{"rendered":"Aghil Alaee Khangha"},"content":{"rendered":"<p>Professor Aghil Alaee Khangha joined the Mathematics department at Clark University in fall 2020. Before joining Clark University, he was a Black Hole Initiative fellow at Harvard University (2019-2020); a postdoctoral fellow at the Center of Mathematical Sciences and Applications at Harvard University (2018-2019); a Natural Sciences and Engineering Research Council postdoctoral fellow at the University of Toronto (2017-2018); and a Pacific Institute for the Mathematical Sciences postdoctoral fellow at the University of Alberta (2015-2017). He received his doctorate in mathematics, with distinction, from Memorial University in December 2015.<\/p>\n<p style=\"text-align:justify\">Professor Alaee&#8217;s research focuses on geometric analysis and mathematical relativity. He investigates conjectures in general relativity \u2014 such as existence, uniqueness, and stability \u2014 and the formation of black holes using geometric analysis, which lies at the intersection of developments in differential geometry, partial differential equations, and modern physics. He has proved several geometric inequalities involving total energy, quasi-local energy, area of horizon, angular momentum, and charges of black holes.<\/p>\n<p style=\"text-align:justify\">Professor Alaee taught a variety of undergraduate mathematics courses at Clark University, Harvard University, University of Toronto, University of Alberta, and Memorial University.<\/p>\n","protected":false},"author":0,"featured_media":1824,"parent":0,"template":"","meta":{"cu_faculty_f180_userid":"C70282096","cu_faculty_first_name":"Aghil","cu_faculty_last_name":"Alaee Khangha","cu_faculty_employment_status":"Full Time","cu_faculty_rank":"Associate Professor","cu_faculty_position":"Associate Professor","cu_faculty_phone":"","cu_faculty_email":"AAlaeeKhangha@clarku.edu","cu_faculty_location":"","cu_faculty_about":"<p>Professor Aghil Alaee Khangha joined the Mathematics department at Clark University in fall 2020. Before joining Clark University, he was a Black Hole Initiative fellow at Harvard University (2019-2020); a postdoctoral fellow at the Center of Mathematical Sciences and Applications at Harvard University (2018-2019); a Natural Sciences and Engineering Research Council postdoctoral fellow at the University of Toronto (2017-2018); and a Pacific Institute for the Mathematical Sciences postdoctoral fellow at the University of Alberta (2015-2017). He received his doctorate in mathematics, with distinction, from Memorial University in December 2015.<\/p>\n<p style=\"text-align:justify;\">Professor Alaee's research focuses on geometric analysis and mathematical relativity. He investigates conjectures in general relativity \u2014 such as existence, uniqueness, and stability \u2014 and the formation of black holes using geometric analysis, which lies at the intersection of developments in differential geometry, partial differential equations, and modern physics. He has proved several geometric inequalities involving total energy, quasi-local energy, area of horizon, angular momentum, and charges of black holes.<\/p>\n<p style=\"text-align:justify;\">Professor Alaee taught a variety of undergraduate mathematics courses at Clark University, Harvard University, University of Toronto, University of Alberta, and Memorial University.<\/p>","cu_faculty_degrees":"<span>Ph.D. in Mathematics,<\/span> Memorial University, 2016","cu_faculty_cv":"","cu_faculty_links":"{\"Professional Website URL\":\"https:\\\/\\\/scholar.harvard.edu\\\/aalaee\\\/home\",\"Google Scholar\":\"https:\\\/\\\/scholar.google.com\\\/citations?user=USnzZoUAAAAJ&amp;hl=en\",\"Research Gate\":\"https:\\\/\\\/www.researchgate.net\\\/profile\\\/Aghil-Alaee-2\"}","cu_faculty_scholarly_interests":"","cu_faculty_scholarly_works":"[{\"activityid\":12783,\"fields\":{\"Type\":\"Articles in Refereed Journals\",\"Title\":\"Stability of Positive Mass Theorem for Static Quasi-Local Energy of Compact (Locally) Hyperbolic Graphical Manifolds\",\"Journal Title\":\"\",\"Series Title\":\"\",\"Month \\\/ Season\":\"\",\"Year\":null,\"Publisher\":\"\",\"Publisher City and State\":\"\",\"Publisher Country\":\"\",\"Volume\":\"\",\"Issue Number \\\/ Edition\":\"\",\"Page Number(s) or Number of Pages\":\"\",\"ISSN\":\"\",\"DOI\":\"\",\"CoAuthor\":null,\"URL\":\"http:\\\/\\\/arxiv.org\\\/abs\\\/2503.16246v1\",\"Description\":\"In this paper, we consider compact graphical manifolds with boundary over (locally) hyperbolic static space. We prove the stability of the positive mass theorem with respect to the Federer--Fleming flat distance for the static quasi-local Brown-York energy of the outer boundary of compact (locally) hyperbolic graphical manifolds. [Journal_ref: ]\",\"Include description in output citation\":0,\"Origin\":\"arXiv\"},\"facultyid\":\"C70282096\",\"status\":[{\"id\":12783,\"status\":\"Completed\\\/Published\",\"term\":\"Fall\",\"year\":2025,\"termid\":\"2025\\\/01\",\"listingorder\":6,\"completionorder\":6},{\"id\":12783,\"status\":\"Submitted\",\"term\":\"Spring\",\"year\":2025,\"termid\":\"2024\\\/03\",\"listingorder\":2,\"completionorder\":2}],\"userid\":\"C70282096\",\"attachments\":[],\"coauthors_list\":[\"Aghil Alaee\",\"Jiusen Liu\"],\"sort_date\":\"2025-9-01\"},{\"activityid\":9934,\"fields\":{\"Type\":\"Articles in Refereed Journals\",\"Title\":\"Boundary Behavior of Compact Manifolds With Scalar Curvature Lower Bounds and Static Quasi-Local Mass of Tori\",\"Journal Title\":\"Proc. Amer. Math. Soc.\",\"Series Title\":\"\",\"Month \\\/ Season\":\"\",\"Year\":2025,\"Publisher\":\"\",\"Publisher City and State\":\"\",\"Publisher Country\":\"\",\"Volume\":\"\",\"Issue Number \\\/ Edition\":\"\",\"Page Number(s) or Number of Pages\":\"\",\"ISSN\":\"\",\"DOI\":\"https:\\\/\\\/doi.org\\\/10.1090\\\/proc\\\/17223\",\"CoAuthor\":null,\"URL\":\"http:\\\/\\\/arxiv.org\\\/abs\\\/2403.02501v1\",\"Description\":\"A classic result of Shi and Tam states that a 2-sphere of positive Gauss and mean curvature bounding a compact 3-manifold with nonnegative scalar curvature, must have total mean curvature not greater than that of the isometric embedding into Euclidean 3-space, with equality only for domains in this reference manifold. We generalize this result to 2-tori of Guass curvature greater than $-1$, which bound a compact 3-manifold having scalar curvature not less than $-6$ and at least one other boundary component satisfying a 'trapping condition'. The conclusion is that the total weighted mean curvature is not greater than that of an isometric embedding into the Kottler manifold, with equality only for domains in this space. Examples are given to show that the assumption of a secondary boundary component cannot be removed. The result gives a positive mass theorem for the static Brown-York mass of tori, in analogy to the Shi-Tam positivity of the standard Brown-York mass, and represents the first such quasi-local mass positivity result for non-spherical surfaces. Furthermore, we prove a Penrose-type inequality in this setting. 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max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.clarku.edu\/faculty\/profiles\/aghil-alaee-khangha\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Aghil Alaee Khangha\" \/>\n<meta property=\"og:description\" content=\"Professor Aghil Alaee Khangha joined the Mathematics department at Clark University in fall 2020. 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